SRC/sorghr.f(3)

NAME
SRC/sorghr.f

SYNOPSIS

  Functions/Subroutines
subroutine sorghr (n, ilo, ihi, a, lda, tau, work, lwork, info)
SORGHR

Function/Subroutine Documentation

  subroutine sorghr (integer n, integer ilo, integer ihi, real, dimension( lda, * ) a, integer lda, real, dimension( * ) tau, real, dimension( * ) work, integer lwork, integer info)

SORGHR

Purpose:

    !>
    !> SORGHR generates a real orthogonal matrix Q which is defined as the
    !> product of IHI-ILO elementary reflectors of order N, as returned by
    !> SGEHRD:
    !>
    !> Q = H(ilo) H(ilo+1) . . . H(ihi-1).
    !>

Parameters
    N

    !>          N is INTEGER
    !>          The order of the matrix Q. N >= 0.
    !>

    ILO

    !>          ILO is INTEGER
    !>

    IHI

    !>          IHI is INTEGER
    !>
    !>          ILO and IHI must have the same values as in the previous call
    !>          of SGEHRD. Q is equal to the unit matrix except in the
    !>          submatrix Q(ilo+1:ihi,ilo+1:ihi).
    !>          1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
    !>

    A

    !>          A is REAL array, dimension (LDA,N)
    !>          On entry, the vectors which define the elementary reflectors,
    !>          as returned by SGEHRD.
    !>          On exit, the N-by-N orthogonal matrix Q.
    !>

    LDA

    !>          LDA is INTEGER
    !>          The leading dimension of the array A. LDA >= max(1,N).
    !>

    TAU

    !>          TAU is REAL array, dimension (N-1)
    !>          TAU(i) must contain the scalar factor of the elementary
    !>          reflector H(i), as returned by SGEHRD.
    !>

    WORK

    !>          WORK is REAL array, dimension (MAX(1,LWORK))
    !>          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
    !>

    LWORK

    !>          LWORK is INTEGER
    !>          The dimension of the array WORK. LWORK >= IHI-ILO.
    !>          For optimum performance LWORK >= (IHI-ILO)*NB, where NB is
    !>          the optimal blocksize.
    !>
    !>          If LWORK = -1, then a workspace query is assumed; the routine
    !>          only calculates the optimal size of the WORK array, returns
    !>          this value as the first entry of the WORK array, and no error
    !>          message related to LWORK is issued by XERBLA.
    !>

    INFO

    !>          INFO is INTEGER
    !>          = 0:  successful exit
    !>          < 0:  if INFO = -i, the i-th argument had an illegal value
    !>

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 125 of file sorghr.f.

Author

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